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Finding the Third Proportional to 18,565 and 40,207

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Solution

The third proportional to 18,565 and 40,207 is: 87,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565 : 40,207 = 40,207 : x
  2. Step 2: Convert to fraction form
    18,565/40,207 = 40,207/x
  3. Step 3: Cross multiply
    18,565x = 40,207 × 40,207
  4. Step 4: Simplify right side
    18,565x = 1,616,602,849
  5. Step 5: Solve for x
    x = 1,616,602,849/18,565
  6. Step 6: Final answer
    x = 87,077.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.